Zusammenfassung

In this paper, we consider the embedding of multiple directed
Hamiltonian rings into $d$-dimensional meshes $M_d$. Assuming
two adjacent nodes in $M_d$ are connected by two directed links
with opposite directions, we aim to embed as many directed
Hamiltonian rings as possible in a way that they are link-disjoint.
In particular, we construct d link-disjoint directed Hamiltonian
rings in d-dimensional $N_1 \times N_2 \times \cdots \times N_d$
mesh, where each $N_i \geq 2d$ is even.